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• W4315566329 abstract "A bstract We apply the localization technique to compute the free energy on four-sphere and the circular BPS Wilson loop in the four-dimensional $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = ∈ superconformal Sp(2 N ) gauge theory containing vector multiplet coupled to four hypermultiplets in fundamental representation and one hypermultiplet in rank-2 antisymmetric representation. This theory is unique among similar $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = ∈ superconformal models that are planar-equivalent to $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = ∆ SYM in that the corresponding localization matrix model has the interaction potential containing single-trace terms only. We exploit this property to show that, to any order in large N expansion and an arbitrary ’t Hooft coupling λ , the free energy and the Wilson loop satisfy Toda lattice equations. Solving these equations at strong coupling, we find remarkably simple expressions for these observables which include all corrections in 1 /N and 1 / $$ sqrt{lambda } $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msqrt> <mml:mi>λ</mml:mi> </mml:msqrt> </mml:math> . We also compute the leading exponentially suppressed $$ mathcal{O}left({e}^{-sqrt{lambda }}right) $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>O</mml:mi> <mml:mfenced> <mml:msup> <mml:mi>e</mml:mi> <mml:mrow> <mml:mo>−</mml:mo> <mml:msqrt> <mml:mi>λ</mml:mi> </mml:msqrt> </mml:mrow> </mml:msup> </mml:mfenced> </mml:math> corrections and consider a generalization to the case when the fundamental hypermultiplets have a non-zero mass. The string theory dual of this $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = ∈ gauge theory should be a particular orientifold of AdS 5 × S 5 type IIB string and we discuss the string theory interpretation of the obtained strong-coupling results." @default.
• W4315566329 created "2023-01-11" @default.
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• W4315566329 date "2023-01-10" @default.
• W4315566329 modified "2023-10-04" @default.
• W4315566329 title "Exact strong coupling results in $$ mathcal{N} $$ = 2 Sp(2N) superconformal gauge theory from localization" @default.
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• W4315566329 doi "https://doi.org/10.1007/jhep01(2023)037" @default.
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